Wednesday, October 12, 2016

Number of the day: 46271

Properties of the number 46271:

46271 and 46273 form a twin prime pair.
46271 has 13 antidivisors and 46270 totatives.
46271 has an oblong digit sum 20 in base 10.
46271 = 231362 - 231352 is the difference of 2 nonnegative squares in 1 way.
46271 is the sum of 2 positive triangular numbers.
46271 is the difference of 2 positive pentagonal numbers in 1 way.
46271 is not the sum of 3 positive squares.
462712 is the sum of 3 positive squares.
46271 is a divisor of 409661 - 1.
46271 is an emirp in (at least) the following bases: 7, 13, 14, 15, 19, 21, 41, 44, 45, 49, 52, 53, 57, 58, 59, 64, 70, 71, 78, 83, 85, 88, 92, and 96.
46271 is palindromic in (at least) the following bases: -55, -56, and -95.
46271 in base 55 = FGG and consists of only the digits 'F' and 'G'.

The number 46271 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A123107: Prime septets of form k, k+2100, k+4200, k+6300, k+8400, k+10500, k+12600.
A154619: Primes of the form (4n^2+4n-5)/5.
A174370: Lesser member p of a twin prime pair (p, p + 2) such that 2p + 3(p + 2) is a perfect square.
A222105: Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..2 array extended with zeros and convolved with 1,2,2,1
A226692: The first member of a twin prime pair whose sum equals the sums of k consecutive smaller pairs of twin primes, k=3.
A248367: Initial members of prime quadruples (n, n+2, n+36, n+38).

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